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26440412454 = 23237893071453
BaseRepresentation
bin11000100111111110…
…001010110100100110
32112020200022010020100
4120213332022310212
5413122221144304
620051353444530
71624134540411
oct304776126446
975220263210
1026440412454
1110238a18245
12515aa10746
132654a94491
1413cb7b8b78
15a4b39b439
hex627f8ad26

26440412454 has 96 divisors (see below), whose sum is σ = 59731832160. Its totient is φ = 8445482496.

The previous prime is 26440412447. The next prime is 26440412503. The reversal of 26440412454 is 45421404462.

26440412454 is a `hidden beast` number, since 2 + 6 + 4 + 404 + 1 + 245 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18196392 + ... + 18197844.

It is an arithmetic number, because the mean of its divisors is an integer number (622206585).

Almost surely, 226440412454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26440412454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865916080).

26440412454 is an abundant number, since it is smaller than the sum of its proper divisors (33291419706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26440412454 is a wasteful number, since it uses less digits than its factorization.

26440412454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 26440412454 in words is "twenty-six billion, four hundred forty million, four hundred twelve thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 307 333 534 614 666 801 921 1453 1602 1842 2763 2906 3293 4359 5526 6586 8718 9879 11359 13077 19758 22718 26154 27323 29637 34077 53761 54646 59274 68154 81969 102231 107522 129317 161283 163938 204462 245907 258634 322566 387951 446071 483849 491814 775902 892142 967698 1010951 1163853 1338213 2021902 2327706 2676426 3032853 4014639 4784729 6065706 8029278 9098559 9569458 14354187 16504627 18197118 28708374 33009254 39700319 43062561 49513881 79400638 86125122 99027762 119100957 148541643 238201914 297083286 357302871 714605742 1468911803 2937823606 4406735409 8813470818 13220206227 26440412454